Dartmouth is a smaller target without the name recognition of Harvard, and MIT has stronger ties to the MIC without the strong public image of a liberal institution. Harvard is a test case (what can this admin do) and a symbol almost in its own category for Trump's followers.
Harvard (the University, not it's alums) has had a near nil presence on K-Street for a looooong time - and their primary lobbyist with the GOP has been on Trump's bad side for sometime after he pissed off David Sacks.
I'm also an (severely disillusioned) alumni of some of the student orgs that are mutually using Harvard the institution as a punching bag to fight their culture wars.
A lot of this is honestly very childish BS done by some petulant alums who were already dicks on campus.
There is very little campus loyalty at Harvard which makes it easier to use it as a punching bag for your culture war (whichever way you lean).
To talk with this admin, you need a person who's part of the Florida GOP milleu in the 90s. Susie Wiles is the one who's managing/operating the show. Almost everyone who matters in Florida republican politics since the 90s owes favors to her.
Similar to how if you had an in into Chicago or IL Dem politics in the 90s or 2000s, you had an in with the Obama admin becuase of Axelrod, Rahm, and Jack Daley.